A partical moves from a point (-2hati + ...

A partical moves from a point `(-2hati + 5hatj)` to `(4hati + 3hatj)` when a force of (4hati + 3hatj) N` is applied . How much work has been done by the force?

A

8J

B

11J

C

5J

D

2J

Text Solution

Verified by Experts

The correct Answer is:

C

`W=vecF*vec(dS)`
`=(4hati+3hatj)*[(4hatj+3hatk)-(2-hati+5hatj)]`
`=(4hati+3hatj)*(2hati-hatj+3hatk)`
`=8-3=5J`

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